Square of 252
2026-02-28 01:05 Diff
https://brightchamps.com/en-us/math/algebra/square-of-252

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Last updated on August 5, 2025

The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In the topic, we will discuss the square of 252.

What is the Square of 252

The square of a number is the product of the number itself.

The square of 252 is 252 × 252.

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 252², where 252 is the base and 2 is the exponent.

The square of a positive and a negative number is always positive.

For example, 5² = 25; -5² = 25.

The square of 252 is 252 × 252 = 63504.

Square of 252 in exponential form: 252²

Square of 252 in arithmetic form: 252 × 252

How to Calculate the Value of Square of 252

The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator

By the Multiplication method

In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 252.

Step 1: Identify the number. Here, the number is 252.

Step 2: Multiplying the number by itself, we get, 252 × 252 = 63504.

The square of 252 is 63504.

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Using a Formula (a²)

In this method, the formula a² is used to find the square of the number, where a is the number.

Step 1: Understanding the equation Square of a number = a² a² = a × a

Step 2: Identifying the number and substituting the value in the equation.

Here, ‘a’ is 252.

So: 252² = 252 × 252 = 63504

By Using a Calculator

Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 252.

Step 1: Enter the number in the calculator Enter 252 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 252 × 252

Step 3: Press the equal to button to find the answer Here, the square of 252 is 63504.

Tips and Tricks for the Square of 252

Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.

  • The square of an even number is always an even number. For example, 6² = 36
     
  • The square of an odd number is always an odd number. For example, 5² = 25
     
  • The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
     
  • If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
     
  • The square root of a perfect square is always a whole number. For example, √144 = 12.

Common Mistakes to Avoid When Calculating the Square of 252

Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

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Problem 1

Find the length of the square, where the area of the square is 63504 cm².

Okay, lets begin

The area of a square = a² So, the area of a square = 63504 cm² So, the length = √63504 = 252. The length of each side = 252 cm

Explanation

The length of a square is 252 cm.

Because the area is 63504 cm², the length is √63504 = 252.

Well explained 👍

Problem 2

Alice is planning to carpet her square room of length 252 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?

Okay, lets begin

The length of the room = 252 feet The cost to carpet 1 square foot of the room = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 252 Therefore, the area of the room = 252² = 252 × 252 = 63504. The cost to carpet the room = 63504 × 5 = 317520. The total cost = 317520 dollars

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.

So, the total cost is 317520 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 252 meters.

Okay, lets begin

The area of the circle = 199,635.36 m²

Explanation

The area of a circle = πr²

Here, r = 252

Therefore, the area of the circle = π × 252² = 3.14 × 252 × 252 = 199635.36 m².

Well explained 👍

Problem 4

The area of the square is 64009 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is

Explanation

The area of the square = a²

Here, the area is 64009 cm²

The length of the side is √64009 = 253

Perimeter of the square = 4a

Here, a = 253

Therefore, the perimeter = 4 × 253 = 1012.

Well explained 👍

Problem 5

Find the square of 253.

Okay, lets begin

The square of 253 is 64009

Explanation

The square of 253 is multiplying 253 by 253.

So, the square = 253 × 253 = 64009

Well explained 👍

FAQs on Square of 252

1.What is the square of 252?

The square of 252 is 63504, as 252 × 252 = 63504.

2.What is the square root of 252?

The square root of 252 is approximately ±15.87.

3.Is 252 a perfect square?

4.What are the first few multiples of 252?

The first few multiples of 252 are 252, 504, 756, 1008, 1260, and so on.

5.What is the square of 250?

The square of 250 is 62500.

Important Glossaries for Square 252.

  • Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
     
  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
     
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
     
  • Multiplication method: A basic method to find the square of a number by multiplying the number by itself.
     
  • Calculator method: Using a calculator to find the square of a number by entering the number and multiplying it by itself.

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.